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LCM of 898, 707, 923, 377

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 898, 707, 923, 377 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 898, 707, 923, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,707,923,377

Given numbers are 898,707,923,377

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 898,707,923,377 is 16993993562.

Find LCM of 898,707,923,377 with Prime Factorization


13 898, 707, 923, 377
898, 707, 71, 29

Multiply the prime numbers at the bottom and the left side.

13 x 898 x 707 x 71 x 29 = 16993993562

Therefore, the lowest common multiple of 898,707,923,377 is 16993993562.

LCM Formula to Find Lowest Common Multiple of 898,707,923,377

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

898 x 707 x 923 x 377 = 220921916306

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

898 : 1, 2, 449, 898

707 : 1, 7, 101, 707

923 : 1, 13, 71, 923

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,707,923,377, is 1.

Now, the common factors can be found like this.

898:2x 449

707:7x 101

923:13x 71

377:13x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 220921916306/(1x13)

LCM = 220921916306/13

LCM = 16993993562

Thus, we can understand that the LCM of 898,707,923,377 is 16993993562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 707, 923, 377

1. What is the LCM of 898, 707, 923, 377?

Answer: LCM of 898, 707, 923, 377 is 16993993562.

2. How to calculate the LCM of 898, 707, 923, 377?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 898, 707, 923, 377.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.